Answer:
y = -1/2x + 2
Step-by-step explanation:
Given the following points on the line:
(0, 2) and (6, -1)
We need to find the slope of the line using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (0, 2)
(x2, y2) = (6, -1)
Plug these values into the slope-formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 2) / (6 - 0)
m = -3 / 6
m = -1/2
Therefore, the slope of the line is -1/2.
Next, we need to find the <em>y-intercept</em> of the line. The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. If you look at the graph, you'll see that the line crosses the y-axis at point (0, 2), which happens to be one of the points we used earlier. The y-coordinate of (0, 2) is the y-intercept.
Therefore, the y-intercept (b) = 2.
We can write the linear equation as follows:
y = -1/2x + 2
